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Finding the Third Proportional to 11,916 and 28,176

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Solution

The third proportional to 11,916 and 28,176 is: 66,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916 : 28,176 = 28,176 : x
  2. Step 2: Convert to fraction form
    11,916/28,176 = 28,176/x
  3. Step 3: Cross multiply
    11,916x = 28,176 × 28,176
  4. Step 4: Simplify right side
    11,916x = 793,886,976
  5. Step 5: Solve for x
    x = 793,886,976/11,916
  6. Step 6: Final answer
    x = 66,623.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.